This paper presents a modified complete normal contact stiffness model of a fractal surface considering contact friction. We use this model to study the influence of fractal dimensions and fractal roughness on normal contact stiffness. The fractal micro-contact model of an asperity and the complete length scale contact model of fractal surface (both contrasting classical mechanics) are revised. The influence of frictional resistance at micro-contact interfaces on normal contact stiffness is also considered. Predictions of the new model are found to be in greater agreement with the results of the experiments than the predictions of the original model. The study analyzes the influence of fractal dimensions and fractal roughness on the normal contact stiffness. With the increase of these two fractal parameters, their influences on the normal contact stiffness are opposite and are different under high pressure and low pressure.

中文翻译：

---

考虑接触摩擦的分形面的修正完整法向接触刚度模型

本文提出了一种考虑接触摩擦的分形表面修正的完全法向接触刚度模型。我们使用这个模型来研究分形维数和分形粗糙度对法向接触刚度的影响。修正了粗糙的分形微接触模型和分形表面的完整长度尺度接触模型（两者都是对比经典力学）。还考虑了微接触界面处的摩擦阻力对法向接触刚度的影响。发现新模型的预测与实验结果的一致性高于原始模型的预测。该研究分析了分形维数和分形粗糙度对法向接触刚度的影响。随着这两个分形参数的增加，